Post-Newtonian expansions for perfect fluids
| dc.creator | Oliynyk, Todd A. | |
| dc.date | 2008-10-21 | |
| dc.date.accessioned | 2026-07-07T13:13:20Z | |
| dc.date.available | 2026-07-07T13:13:20Z | |
| dc.description | We prove the existence of a large class of dynamical solutions to the Einstein-Euler equations that have a first post-Newtonian expansion. The results here are based on the elliptic-hyperbolic formulation of the Einstein-Euler equations used in \cite{Oli06}, which contains a singular parameter $\ep = v_T/c$, where $v_T$ is a characteristic velocity associated with the fluid and $c$ is the speed of light. As in \cite{Oli06}, energy estimates on weighted Sobolev spaces are used to analyze the behavior of solutions to the Einstein-Euler equations in the limit $\ep\searrow 0$, and to demonstrate the validity of the first post-Newtonian expansion as an approximation. | |
| dc.identifier | https://arxiv.org/abs/0810.3752 | |
| dc.identifier | http://arxiv.org/abs/0810.3752 | |
| dc.identifier | Commun.Math.Phys.288:847-886,2009 | |
| dc.identifier | doi:10.1007/s00220-009-0738-z | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229859 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Post-Newtonian expansions for perfect fluids | |
| dc.type | text |